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4vir4ik [10]
2 years ago
6

O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in y

our answers.

Mathematics
1 answer:
Simora [160]2 years ago
7 0

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

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schepotkina [342]
First turn 7 hours and 3/4 hours into a decimal number.  This will help when doing equations (the work).

This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.  

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!




8 0
2 years ago
Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri
finlep [7]

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

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After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

5 0
1 year ago
The masses of two objects are compared during a physics experiment. It is determined that object A has a mass of 4×10^−3 grams a
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Answer: 10

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B: 4×10^−4=0.0004

6 0
2 years ago
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4abc + (-9abc) + 10d?
nasty-shy [4]
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8 0
1 year ago
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) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale
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Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

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So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

5 0
1 year ago
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